Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system

Details Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system

2011-04-12

arxiv.org/abs/1104.2174v1

AIP Conference Proceedings 1332, 232-234 (2011)

Physics

Condensed Matter

Statistical Mechanics

Proceedings of the 2010 Granada Seminar

Scientific paper

We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the oscillator stable rest position as its order parameter. Secondly, for fast spins, the oscillator dynamics is described by an effective equation with a nonlinear friction term that drives the oscillator towards the stable equilibrium state.

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